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What is the Least Common Multiple of 16085 and 16090?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 16085 and 16090 is 51761530.

LCM(16085,16090) = 51761530

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Least Common Multiple of 16085 and 16090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16085 and 16090, than apply into the LCM equation.

GCF(16085,16090) = 5
LCM(16085,16090) = ( 16085 × 16090) / 5
LCM(16085,16090) = 258807650 / 5
LCM(16085,16090) = 51761530

Least Common Multiple (LCM) of 16085 and 16090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16085 and 16090. First we will calculate the prime factors of 16085 and 16090.

Prime Factorization of 16085

Prime factors of 16085 are 5, 3217. Prime factorization of 16085 in exponential form is:

16085 = 51 × 32171

Prime Factorization of 16090

Prime factors of 16090 are 2, 5, 1609. Prime factorization of 16090 in exponential form is:

16090 = 21 × 51 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 16085 and 16090.

LCM(16085,16090) = 51 × 32171 × 21 × 16091
LCM(16085,16090) = 51761530